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2426566560 = 2535113712421
BaseRepresentation
bin1001000010100010…
…0111011110100000
320021010000100112120
42100220213132200
514432200112220
61040441424240
7114063322035
oct22050473640
96233010476
102426566560
111035808410
1257879b080
132c895ac02
141903b738c
15e3072a40
hex90a277a0

2426566560 has 192 divisors, whose sum is σ = 8564621184. Its totient is φ = 572313600.

The previous prime is 2426566559. The next prime is 2426566603. The reversal of 2426566560 is 656656242.

It is a super-2 number, since 2×24265665602 = 11776450540220467200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189150 + ... + 201570.

It is an arithmetic number, because the mean of its divisors is an integer number (44607402).

Almost surely, 22426566560 is an apocalyptic number.

2426566560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2426566560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4282310592).

2426566560 is an abundant number, since it is smaller than the sum of its proper divisors (6138054624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2426566560 is a wasteful number, since it uses less digits than its factorization.

2426566560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12487 (or 12479 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The square root of 2426566560 is about 49260.1924478579. The cubic root of 2426566560 is about 1343.7879306834.

The spelling of 2426566560 in words is "two billion, four hundred twenty-six million, five hundred sixty-six thousand, five hundred sixty".